SOLUTION: Okay I have this question I thought I understood I thought the answer would be ~(~pVq) but its not in the potions so i do not know what i am doing wrong? . Let p represent the

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Question 470968: Okay I have this question I thought I understood I thought the answer would be ~(~pVq) but its not in the potions so i do not know what i am doing wrong?
. Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.
It is not the case that Jim plays football and Michael does not play basketball.

a ~p q
b ~p ~q
c ~(p q)
d ~(p ~q)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Jim plays football" is the statement p

"Michael plays basketball" is the statement q. So "Michael does not play basketball" is ~q


This means that "Jim plays football and Michael does not play basketball" translates to p ^ ~q where ^ is the "and" conjunction.


Finally, negate the entire thing (since it starts off with "It is not the case...") to get

~(p ^ ~q)

Now you could use De Morgan's Law to turn that into ~p V ~~q and then use double negation to get ~p V q